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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 73
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping
Paper 33
Impact Envelope Formula of Simple Beams due to High Speed Trains J.D. Yau+ and Y.B. Yang*
+Department of Architecture and Building Technology, Tamkang University, Taipei, Taiwan
Full Bibliographic Reference for this paper
J.D. Yau, Y.B. Yang, "Impact Envelope Formula of Simple Beams due to High Speed Trains", in B.H.V. Topping, (Editor), "Proceedings of the Eighth International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 33, 2001. doi:10.4203/ccp.73.33
Keywords: impact formula, dynamics, high speed trains, resonance.
Summary
The impact response of bridge structures subjected to moving loads at high speeds
is a problem of great concern in the design of high-speed railway bridges.
Consider a series of loads moving over the simple beam as shown in Figure 33.1.
By neglecting the effect of damping, a closed form solution for the resonant
response
![]() where ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]()
On the other hand, whenever the following condition is met, that is,
where the subscript ![]() ![]() ![]()
In engineering practice, the damping effect of structures should be included.
In this study, the damping ratio of simple beams is assumed to be small, i.e.,
with
where ![]() ![]() ![]() ![]() ![]() For different damping ratios, the envelope impact formula of equation (33.4) has been plotted in Figure 33.2. As can be seen, for the case of light damping, the envelope impact formula has a trend in good consistency with the ![]()
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